27661344273 has 24 divisors (see below), whose sum is σ = 40118906880. Its totient is φ = 18365520960.

The previous prime is 27661344259. The next prime is 27661344287. The reversal of 27661344273 is 37244316672.

27661344273 is a `hidden beast` number, since 2 + 7 + 6 + 613 + 4 + 4 + 27 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (27661344259) and next prime (27661344287).

It is not a de Polignac number, because 27661344273 - 2⁸ = 27661344017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27661344773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472813 + ... + 2483973.

It is an arithmetic number, because the mean of its divisors is an integer number (1671621120).

Almost surely, 2^27661344273 is an apocalyptic number.

It is an amenable number.

27661344273 is a deficient number, since it is larger than the sum of its proper divisors (12457562607).

27661344273 is a wasteful number, since it uses less digits than its factorization.

27661344273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269 (or 12266 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 27661344273 in words is "twenty-seven billion, six hundred sixty-one million, three hundred forty-four thousand, two hundred seventy-three".